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In this paper we study the reconstruction of binary sparse signals from partial random circulant measurements. We show that the reconstruction via the least-squares algorithm is as good as the reconstruction via the usually used program…

Information Theory · Computer Science 2020-06-29 Sandra Keiper

Batteryless or so called passive wearables are providing new and innovative methods for human activity recognition (HAR), especially in healthcare applications for older people. Passive sensors are low cost, lightweight, unobtrusive and…

Machine Learning · Computer Science 2019-06-07 Alireza Abedin , S. Hamid Rezatofighi , Qinfeng Shi , Damith C. Ranasinghe

In compressed sensing problems, $\ell_1$ minimization or Basis Pursuit was known to have the best provable phase transition performance of recoverable sparsity among polynomial-time algorithms. It is of great theoretical and practical…

Information Theory · Computer Science 2013-07-19 Weiyu Xu , Myung Cho

This paper leverages recent advances in high derivatives reconstruction from noisy-time series and sparse multivariate polynomial identification in order to improve the process of parsimoniously identifying, from a small amount of data,…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Mazen Alamir

The need of reconstructing discrete-valued sparse signals from few measurements, that is solving an undetermined system of linear equations, appears frequently in science and engineering. Whereas classical compressed sensing algorithms do…

Optimization and Control · Mathematics 2016-09-30 Sandra Keiper , Gitta Kutyniok , Dae Gwan Lee , Götz E. Pfander

Sequence modeling tasks across domains such as natural language processing, time series forecasting, and control require learning complex input-output mappings. Nonlinear recurrence is theoretically required for universal approximation of…

Machine Learning · Computer Science 2026-01-13 Manuel Brenner , Georgia Koppe

Causal inference from observational data following the restricted structural causal model (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or nonlinearity.…

Methodology · Statistics 2021-09-06 Kang Du , Yu Xiang

The dynamics of complex systems, from financial markets to the brain, can be monitored in terms of multiple time series of activity of the constituent units, such as stocks or neurons respectively. While the main focus of time series…

Data Analysis, Statistics and Probability · Physics 2015-01-14 Assaf Almog , Diego Garlaschelli

Empirically observed time series in physics, biology, or medicine, are commonly generated by some underlying dynamical system (DS) which is the target of scientific interest. There is an increasing interest to harvest machine learning…

Machine Learning · Computer Science 2022-07-07 Daniel Kramer , Philine Lou Bommer , Carlo Tombolini , Georgia Koppe , Daniel Durstewitz

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

Due to the increasing complexity and interconnectedness of different components in modern automotive software systems there is a great number of interactions between these system components and their environment. These interactions result…

Applications · Statistics 2025-03-11 Bojan Lukić , Thorben Knust , Andreas Rausch

Classification models are a fundamental component of physical-asset management technologies such as structural health monitoring (SHM) systems and digital twins. Previous work introduced risk-based active learning, an online approach for…

Machine Learning · Computer Science 2022-07-13 Aidan J. Hughes , Lawrence A. Bull , Paul Gardner , Nikolaos Dervilis , Keith Worden

Sparse autoencoders (SAEs) are used to decompose neural network activations into sparsely activating features, but many SAE features are only interpretable at high activation strengths. To address this issue we propose to use binary sparse…

Machine Learning · Computer Science 2025-10-01 Lucia Quirke , Stepan Shabalin , Nora Belrose

Industrial time-series data from real production environments exhibits substantially higher complexity than commonly used benchmark datasets, primarily due to heterogeneous, multi-stage operational processes. As a result, anomaly detection…

Machine Learning · Computer Science 2026-04-16 Sergej Krasnikov , Lukas Meitz , Samineh Bagheri , Michael Heider , Thorsten Schöler , Jörg Hähner

Matrix factorization is a key tool in data analysis; its applications include recommender systems, correlation analysis, signal processing, among others. Binary matrices are a particular case which has received significant attention for…

Machine Learning · Statistics 2019-01-30 Ignacio Ramirez

Efficient and low-latency wireless connectivity between the base station (BS) and a sparse set of sporadically active devices from a massive number of devices is crucial for random access in emerging massive machine-type communications…

Information Theory · Computer Science 2024-04-16 Jyotish Robin , Elza Erkip

As compared to simple actions, activities are much more complex, but semantically consistent with a human's real life. Techniques for action recognition from sensor generated data are mature. However, there has been relatively little work…

Computer Vision and Pattern Recognition · Computer Science 2016-11-08 Ye Liu , Liqiang Nie , Lei Han , Luming Zhang , David S Rosenblum

Discovering causal relations from observational time series without making the stationary assumption is a significant challenge. In practice, this challenge is common in many areas, such as retail sales, transportation systems, and medical…

Machine Learning · Computer Science 2024-07-11 Shanyun Gao , Raghavendra Addanki , Tong Yu , Ryan A. Rossi , Murat Kocaoglu

Dictionary learning is a popular approach for inferring a hidden basis or dictionary in which data has a sparse representation. Data generated from the dictionary A (an n by m matrix, with m > n in the over-complete setting) is given by Y =…

Machine Learning · Computer Science 2018-05-09 Pranjal Awasthi , Aravindan Vijayaraghavan

Nonlinear, adaptive, or otherwise complex control techniques are increasingly relied upon to ensure the safety of systems operating in uncertain environments. However, the nonlinearity of the resulting closed-loop system complicates…

Systems and Control · Computer Science 2018-01-17 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How